# American Institute of Mathematical Sciences

2007, 2007(Special): 694-703. doi: 10.3934/proc.2007.2007.694

## Positive solutions for a nonlocal fourth order equation of Kirchhoff type

 1 Departamento de Matemática, Instituto de Ciências Matemáticas e do Computação, Universidade de São Paulo - Campus de São Carlos, 13560-970 São Carlos, SP, Brazil

Received  September 2006 Revised  March 2007 Published  September 2007

Existence and multiplicity of positive solutions for the fourth order equation

$u'''' - M(\eq^1_0 |u'|^2 dx) u'' = q(x)f(x, u, u'),$

which models simply supported extensible beams, are considered using fixed point theorems in cones of ordered Banach spaces.

Citation: To Fu Ma. Positive solutions for a nonlocal fourth order equation of Kirchhoff type. Conference Publications, 2007, 2007 (Special) : 694-703. doi: 10.3934/proc.2007.2007.694
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